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Finding the Fourth Proportional to 156.22, 233.88 and 139.75

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Solution

The fourth proportional to 156.22, 233.88 and 139.75 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.22 : 233.88 = 139.75 : x
  2. Step 2: Convert to fraction form
    156.22/233.88 = 139.75/x
  3. Step 3: Cross multiply
    156.22x = 233.88 × 139.75
  4. Step 4: Simplify right side
    156.22x = 32,684.73
  5. Step 5: Solve for x
    x = 32,684.73/156.22
  6. Step 6: Final answer
    x = 209.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.